Nuprl Lemma : l_mul_wf
∀[L:ℤ List]. (l_mul(L) ∈ ℤ)
Proof
Definitions occuring in Statement :
l_mul: l_mul(L),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
l_mul: l_mul(L),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
reduce_wf,
list_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
lambdaEquality,
multiplyEquality,
hypothesisEquality,
natural_numberEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[L:\mBbbZ{} List]. (l\_mul(L) \mmember{} \mBbbZ{})
Date html generated:
2016_05_14-PM-02_54_18
Last ObjectModification:
2015_12_26-PM-02_32_56
Theory : list_1
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